We extend recently developed algebraic space–time analogies for the dispersive and nonlinear propagation of optical breathers. Geometrical arguments can explain the similarity of evolutionary behavior between spatial and temporal phenomena even when strict algebraic translation of solutions may not be possible. This explanation offers a new set of tools for understanding and predicting the evolutionary structure of self-consistent Gaussian breathers in nonlinear optical fibers.
© 2001 Optical Society of America
(060.2330) Fiber optics and optical communications : Fiber optics communications
(060.4370) Fiber optics and optical communications : Nonlinear optics, fibers
(060.5530) Fiber optics and optical communications : Pulse propagation and temporal solitons
Shayan Mookherjea and Amnon Yariv, "Algebraic and geometric space–time analogies in nonlinear optical pulse propagation," Opt. Lett. 26, 1323-1325 (2001)